Presentations for the higher-dimensional Thompson groups \(nV\).

DOI10.2140/PJM.2012.257.53zbMath1248.20035arXiv1105.3714OpenAlexW1983514559WikidataQ57460905 ScholiaQ57460905MaRDI QIDQ442042

Johanna Hennig, Francesco Matucci

Publication date: 9 August 2012

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3714

zbMATH Keywords

finiteness conditionsThompson groupsfinite presentationsgroups of piecewise-linear homeomorphisms

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Simple groups (20E32) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65)

Related Items (14)

Diffeomorphism groups of tame Cantor sets and Thompson-like groups ⋮ Cohomological finiteness conditions and centralisers in generalisations of Thompson's group \(V\) ⋮ Bredon cohomological finiteness conditions for generalisations of Thompson groups. ⋮ Étale groupoids arising from products of shifts of finite type ⋮ Higher dimensional generalizations of the Thompson groups ⋮ Twisted Brin-Thompson groups ⋮ PERMUTATION-BASED PRESENTATIONS FOR BRIN’S HIGHER-DIMENSIONAL THOMPSON GROUPS ⋮ Some undecidability results for asynchronous transducers and the Brin-Thompson group $2V$ ⋮ A description of \(\operatorname{Aut} (d V_n)\) and \(\operatorname{Out} (d V_n)\) using transducers ⋮ Cohomological finiteness properties of the Brin–Thompson–Higman groups 2V and 3V ⋮ A family of non-isomorphism results. ⋮ Isomorphisms of Brin-Higman-Thompson groups. ⋮ Presentations of generalisations of Thompson's group \(V\) ⋮ The word problem of the Brin-Thompson group is \textsf{coNP}-complete

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